Question

In: Math

a) Find area between parabola f(x) = x^2/2p and its chord AB which is perpendicular to...

a) Find area between parabola f(x) = x^2/2p and its chord AB which is perpendicular to y-axis. Here A(a,f(a)), B(-a, f(-a)), a<0, p>0.

b) Show also that this area is 2/3 of the area of the rectangle bounded by lines AB, X -axis, x = a,x = b.

Solutions

Expert Solution


Related Solutions

Let AB be a diameter of a circle and suppose that UV is a perpendicular chord....
Let AB be a diameter of a circle and suppose that UV is a perpendicular chord. Show that cr(A,U,B,V)=2 (where cr = cross-ratio)
Consider the parabola y=1-x^2. Find the point on the parabola for which the tangent line through...
Consider the parabola y=1-x^2. Find the point on the parabola for which the tangent line through that point creates a triangle in the 1st quadrant and that triangle has minimum area.
area between curves 1. Find the area between x=1 and x=3 for: f(x) = x+4 and...
area between curves 1. Find the area between x=1 and x=3 for: f(x) = x+4 and g(x)=1 2. Find the area between x =-1 and x=1 for: f(x) = 2-x^2 and g(x) =3 3. find the area between: f(x) = x^2 and g(x) = 2x+3 4. find the area between: f(x) = 4-x^2 and g(x) =3x
2. Determine the area of the region between x = −1, x = 2, f(x) =...
2. Determine the area of the region between x = −1, x = 2, f(x) = 3x2, and the x-axis. (a) 27 (b) 2 (c) 9 (d) 48 (e) 16
Find the coordinates of the vertex for the parabola defined by the given quadratic function. f(x)...
Find the coordinates of the vertex for the parabola defined by the given quadratic function. f(x) = x2 + 8x - 8
Find the area bounded between the curves g(x)=x/2 f(x)=(x-1)^0.5 and the x axis. Please show your...
Find the area bounded between the curves g(x)=x/2 f(x)=(x-1)^0.5 and the x axis. Please show your work and explain steps :)
Given f''(x)= 4x-6 and f'(-2)=5 and f(-2)=1 FIND: Find f'(x)= and find f(2)=
Given f''(x)= 4x-6 and f'(-2)=5 and f(-2)=1 FIND: Find f'(x)= and find f(2)=
1) Find an estimate for the area under the graph of f(x)=x^2 from x=0 to x=8...
1) Find an estimate for the area under the graph of f(x)=x^2 from x=0 to x=8 using four rectangles and: a) left end points b) right end points c) mid points 2) Find the volume of a solid obtained by rotating about the x-axis the region bounded by y=x^3 and y=2x. Sketch the region, the solid, and a typical disk or washer.
find the area under the function f(x)=x^2 +5 from x=2 to x=4 take n=8
find the area under the function f(x)=x^2 +5 from x=2 to x=4 take n=8
how to find the volume between the curves f(x)=3+ x^2 g(x)=4x if its revolving around the...
how to find the volume between the curves f(x)=3+ x^2 g(x)=4x if its revolving around the x axis
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT